Questions on Word Problems: Rate of work, PAINTING, Pool Filling answered by real tutors!

Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)

Question 724561: Three pipes fill a pool. Pipe A takes 2 hours to fill the pool, Pipe B takes 3 hours to fill the pool, and Pipe C takes 4 hours to fill. The pool has two leaks in it. Leak D takes 8 hours to drain the pool when filled, and Leak E takes 12 hours to drain the filled pool. Determine how long the empty pool takes to fill
Click here to see answer by nerdybill(7384)

Question 724567: How long would it take 4 people to paint 2340 square feet if each worked 4 hours a day?
Click here to see answer by richwmiller(17219)

Question 724567: How long would it take 4 people to paint 2340 square feet if each worked 4 hours a day?
Click here to see answer by JBarnum(2146)

Question 724707: If it takes 10 men 4 hours to repair a barn, how long will it take 8 men to complete the task?
Click here to see answer by solver91311(24713)

Question 725074: Two pipes fill the water tank within 6 hrs and 40min,find the time Each pipe takes to fill the tank if one pipe fill the tank 3hrs less than the other
Click here to see answer by josgarithmetic(39613)

Question 725342: The "learning curve" describes the rate at which a person learns certain tasks. If a person sets a goal of typing N words per minute (WPM), the length of time t (in days) to achieve this goal is given by
t= -62.5(1-N/80)
(a) according to this formula, what is the maximum number of words per minute? (Round your answer to the nearest whole number.) wpm _________
(b) Solve for N. N=________
Click here to see answer by solver91311(24713)

Question 725398:
Click here to see answer by General_Lee87(58)

Question 725396: If Hose A fills a bucket in 45 minutes and Hose B can fill the same bucket in 30 minutes, how long will it take both hoses to fill the same bucket?
Click here to see answer by josmiceli(19441)

Question 725400: The planet Mars has two moons: Phobos and Delmos. The larger of the moons, Phobos, orbits around Mars about 24 times in 8 days. About how many time will Phobos orbit around Mars in 7 days?
Click here to see answer by AmparoV(10)

Question 725403: The International Space Station orbits Earth at a constant speed. It travels 77 km in 10 seconds. What is the unit rate of the International Space Station's speed?
Click here to see answer by KMST(5328)

Question 725505: Im not sure if i am getting this equation properly lined up. the question is it takes shawn 12 more hours to paint a house than Michelle. together it takes them 14.4 hours to complete the work. how long would it take shawn to paint the house by himself?
Click here to see answer by mananth(16946)

Question 725732: jennifer can read 8 pages per 15 minutes. At that rate, how long would it take her to read 40 pages?
Click here to see answer by General_Lee87(58)

Question 725713: if matt and jim can mow a lawn in 3 hours. working alone matt takes 3 times longer than jim. how fast can jim mow the lawn alone
Click here to see answer by checkley79(3341)

Question 725816: Larry and Curly are trying to fill a sandbox with sand. Working alone, Larry can fill the empty sandbox in 4 hours, and Curly can do the same job in 5 hours. Moe is trying to empty the sandbox and ,working alone, can empty it in 6 hours. If the sandbox is half-full at the time Curly and Larry begin filling it and Moe begins emptying it, How many minutes will it take for the sandbox to be filled? Round your answer to the nearest minute.
Click here to see answer by richwmiller(17219)

Question 725846: Carol can weed a garden in 2 hours. Jen can weed the same garden in 5 hours. How long will it take them to weed the garden working together?
Click here to see answer by richwmiller(17219)

Question 725865: An experienced bricklayer can construct a small wall in 6 hours. An apprentice can complete the job in 10 hours. Find how long it takes if they work together.
Click here to see answer by richwmiller(17219)

Question 725880: Sam can unload a truck of furniture in 6 hours. Working together, it takes Sam and Matthew 2 hours to do the same job. How long would it take Matthew to do the job by himself?

Rob can deliver papers 4 times as fast as his younger brother. If they work together, it takes them 2 hours. How long would it take each to deliver the papers alone?
Click here to see answer by richwmiller(17219)

Question 726026:
if 14 girls did a work for 9 days how many days would 4 girls take to do the same work
Click here to see answer by checkley79(3341)

Question 726340: A tank can be filled in 18hours by "pump A" or in 24 hours by "pump B" how long will it take to take both pumps working together to fill the tank.... will you please help me with this??
Click here to see answer by mananth(16946)

Question 726724: Ok so I need to know how to solve this with work shown for class.
Pipe a and b can together fill a swimming pool in 2 hours. If only pipe a is used, the pool can be filled in 3 hours. How long would it take for only pipe b to fill the pool?
Could you show the work and explain to me how you got the answer?
Click here to see answer by mananth(16946)

Question 727341: Hello! I'm having a bit of difficulty with one of my homework problems. Here it is:
Working together it takes Larry, Moe and Curly 3 hours to paint a room. If Curly takes twice as long as Larry, and Moe takes one hour more than Larry, how long would it take Larry to paint the room by himself?
So far I have:
Larry: 1/x
Moe: 1/x+1
Curly: 1/2x
And if it's anything like previous work-rate problems, I'm assuming you set it up as:
1/x + 1/x+1 + 1/2x = 3
What do I do next? Am I somehow supposed to make the denominators the same?
I know I'm supposed to eventually get to a quadratic equation, but if anyone has the next step or sees something I'm doing incorrectly, I'd love some input!
Thank you very much!
Click here to see answer by josgarithmetic(39613)

Question 727755: Five workers can do three jobs in 2 days. How many workers would it take to do 18 jobs in 10 days?
Click here to see answer by josmiceli(19441)

Question 726648: 6 people worked for 9 days to complete two fifths of a project. If three joined the original 6 people, how many days were needed to complete the project?
Click here to see answer by Edwin McCravy(20054)

Question 727936: the larger of two printers being used to print the payroll for a major corporation requres 40 min. to print the payroll. After both printers have been operating for 10 min, the larger printer malfunctions. The smaller printer requires 50 more min to complete the payroll. How long would it take the smaller printer working alone to print the payroll?
Click here to see answer by Edwin McCravy(20054)

Question 728073: craig and jim,working together, can clean the house in 2 hours. Working alone, jim takes twice as long as craig. How long does it take craig to clean the house alone?
Click here to see answer by nerdybill(7384)

Question 728481: To travel 84 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 42 miles riding a bicycle. Sue travels 15 miles per hour faster than Doreen. Find the times and rates of both girls.
Click here to see answer by josmiceli(19441)

Question 728564: A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8 minutes.
a) If these machines were together how much time will it take to cap 1000 bottles?
b) if t1 and t2 are the time in the above problem. Determine the time taken by both machines working together?
Can you please help me? Thanks so much in advance:)
Click here to see answer by Edwin McCravy(20054)

Question 728586: Two landscape workers can complete a certain landscaping job in a total of 20 hours. Working alone, one can do the same job in 2 hours less time than it takes the other. How long would it take the faster worker to do the job if the slower worker were unable to work? (Use calculator to find approx. value, but how intended computation.)
Click here to see answer by richwmiller(17219)

Question 728620: If I collect 1500 empty cans and a can cost 5 cent what's the total in all
Click here to see answer by Alan3354(69443)

Question 728773: A glassblower can produce a set of simple glasses in about 2 hours. When the glassblower works with an apprentice, the job takes about 1.5 hours. How long would it take the apprentice to make a set of glasses when working alone ?
I have seen other rate of work questions/answers but in this case the rate is not by hour so that confuses me.
Click here to see answer by josgarithmetic(39613)

Question 728854: One tap can fill a cistern in 2 hours and another empty the cistern in 3 hours.How long will they take to fill the cistern if both the taps are opened ?
Click here to see answer by josmiceli(19441)

Question 729020: A pool can be filled in 15 hours and drained in 20 hours. How long will it take to fill the pool if both the fill and drain pipes are on? Enter your answer to the nearest hour.
Click here to see answer by Edwin McCravy(20054)

Question 729047: One boat travelling 15 mph goes 47 miles downstream in the same amount of time that another boat going 20 mph goes 40 miles upstream. How fast is the current in mph? (Round your answer to the nearest tenth of miles per hour and enter only the numerical part.)
Click here to see answer by checkley79(3341)

Question 729575: A bathtub is being filled with water. After 3 minutes, 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the bathtub?
My choices are a. 36 seconds b. 45 seconds c. 186 seconds d. 216 seconds
Click here to see answer by ptaylor(2198)

Question 729529: Working together, it takes two computers 15 minutes to send out a company�s email. If it takes the slower computer 60 minutes to do the job on its own, how long will it take the faster computer to do the job on its own?
Click here to see answer by nerdybill(7384)

Question 729618: two computers working on the same task can complete it in 10 seconds. If one of the computers operating alone can complete the job in 18 seconds, how many seconds will it take the other computer working alone to complete the task
Click here to see answer by lynnlo(4176)

Question 729601: 10 men can do a piece of work in 24 days. After working 6 days,few men were added to finish the work in 21 days from the begining. Find the added men.
Click here to see answer by Edwin McCravy(20054)

Question 729609: Working together, Rick and Rob can clean the snow from the driveway in 20 mins. It would have taken Rick, working alone, 36 mins. How long would it have taken Rob alone?
Click here to see answer by checkley79(3341)

Question 729664: It takes Bob 4 hours longer to repair a car than it takes Ken. Working together, they can complete the job in 1.5 hours. How long would each of them take working alone.
Click here to see answer by checkley79(3341)

Question 729260: Working together, 4 skilled workers can complete a job in 5 days. However, 5 semi-skilled workers can complete the same job in 6 days. If 1 semi-skilled and 2 skilled workers work together, how long does it take for them to complete the same job?
Click here to see answer by ankor@dixie-net.com(22740)

Question 729757: Dana can paint a room alone in four hours. Cynthia can do the same job in three hours. How long will it take them to paint a similar room if they work together

Click here to see answer by josmiceli(19441)

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